If a,b, and c are mutually relatively prime nonzero integers, then gcd(a,bc)=gcd(a,b)*gcd(a,c). Give examples for a,b,c showing this is true such that gcd(a,bc),gcd(a,b), and gcd(a,c) are not all equal to 1. Explain why the statement is true..

If A is an invertible matrix, then the columns of A^T are linearly independent. Explain Why..

If a child is 32 inches tall at 3 years and 39 inches tall at 6 years and we assume that her growth is linear, find an equation representing her height as a function of her age and use it to find out how tall she will be when she.

If a phone company charges $0.40 for the first minute and $0.25 for each additional minute for a long-distance call, how long did you talk if the phone call cost $5.40?
Pleas show the work..

If A, B, and C are 3 times 3, 3 times 7, and 7 times 9 matrices respectively, determine which of the following products are defined. For those defined, enter the size of the resulting matrix (e.g. "3 times 4", with spaces between numbers and "x"). For those undefined, enter.

If a probability is 0.2 that any one person will dislike the taste of a new toothpaste, what is the probability that 5 of 18 randomly selected persons will dislike it? (b) A shipment of 20 tape recorders contains 5 that are defective. If 10 of them are randomly chosen.

If A and B are similar, which of the following are true? tr(A) = tr (B) rank(A) = nullity(B) The algebraic and geometric multiplicities of the eigenvalues of A and B are the same. A and B have the same eigenvalues. rank(A) = nullity(B^T) A and B have the same.

If anyone could walk me through this, I'd appreciate it. I need help and am not sure how to start the problems on Matlab. Thanks.
1. mypw(a,b) which takes two inputs:
a: A positive integer.
b: A positive integer.
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If f is the mod-5 function, compute each of the following:
a) f(13) + f(19)
b) f(13+19)
c) f(278).

If A is an n times n matrix and b 0 in R^n, then consider the set of solutions to Ax = b Select true or false for each statement. This set is closed under vector addition This set is closed under scalar multiplications The set contains the zero vector.

If A is a 4 times 4 matrix with det A = - 5, then det (3A - 1) is
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If Bill throws a apple into the air, and the ball follows a path of the algebraic equation h=-8t^2+40t and H is for height and t for time, how many seconds will it take the for the apple to fall to the ground. have no clue how to even start.

If A is a 4 times 3 matrix, what is the largest possible dimension of the row space of A? Explain
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If function takes a given number, doubles it, and then subtracts 10, what is the result if function operate on3?
A) what the domain and range of the function y=x^2? Domain? Range?
B) If function takes a given number, doubles it, and then subtracts.

if a=b(mod n1) and a=c(mod n2), prove that b=c mod n where n=gcd(n1,n2).

If a cannon is fired from a height of 8.2 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time t, in secs, is found by the function h(t) = -4.9t^2 + 30.5t +8.2. Find the time it takes.

If A and B are similar
Given two n times n matrices A and B, show that if they are similar then, for any number t, det(tI - A2) = det(tI - B2).
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if a tennis ball on is dropped, it bounces or rebounds, up to 80% of its initial height.
write the first five terms of a sequence that gives the max height attained by the tennis ball on each rebound when it is dropped from an initial height.

if A is an invertible and B is row equivalent to a, then B is nonsingular. how to prove it?
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If A is a an n x n matrix then det(A sI) is an nth degree polynomial. The zeros of this polynomial are the eigenvalues for the system. So, to find the eigenvalues for a system means solving a polynomial equation. This is generally not too computationally difficult if n.

If a study has 18 participants in the experimental group and 7 in the control group, the harmonic mean will be closest to a value of A)5 B)7 C)18 D)25 The items below are based on t he following scenario. A social psychologist interested in cultural differences compared women of.